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Finding the Fourth Proportional to 12,466.66, 18,711.24 and 8,454.32

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Solution

The fourth proportional to 12,466.66, 18,711.24 and 8,454.32 is: 12,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.66 : 18,711.24 = 8,454.32 : x
  2. Step 2: Convert to fraction form
    12,466.66/18,711.24 = 8,454.32/x
  3. Step 3: Cross multiply
    12,466.66x = 18,711.24 × 8,454.32
  4. Step 4: Simplify right side
    12,466.66x = 158,190,860.71
  5. Step 5: Solve for x
    x = 158,190,860.71/12,466.66
  6. Step 6: Final answer
    x = 12,689.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.